Schreier vector, the Glossary

Table of Contents

1. 9 relations: Cambridge University Press, Computational group theory, CRC Press, Group (mathematics), Group action, Mathematics, Permutation group, Pseudocode, Springer Science+Business Media.

2. Computational group theory
3. Permutation groups

Cambridge University Press

Cambridge University Press is the university press of the University of Cambridge.

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Computational group theory

In mathematics, computational group theory is the study of groups by means of computers.

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CRC Press

The CRC Press, LLC is an American publishing group that specializes in producing technical books.

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Group (mathematics)

In mathematics, a group is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation) and satisfies the following constraints: the operation is associative, it has an identity element, and every element of the set has an inverse element.

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Group action

In mathematics, many sets of transformations form a group under function composition; for example, the rotations around a point in the plane.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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Permutation group

In mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself). Schreier vector and permutation group are permutation groups.

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Pseudocode

In computer science, pseudocode is a description of the steps in an algorithm using a mix of conventions of programming languages (like assignment operator, conditional operator, loop) with informal, usually self-explanatory, notation of actions and conditions.

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Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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See also

Computational group theory

• Automatic group
• Base (group theory)
• Black box group
• Charles Sims (mathematician)
• Computational group theory
• Coset enumeration
• Knuth–Bendix completion algorithm
• Nielsen transformation
• Schreier vector
• Schreier–Sims algorithm
• Strong generating set
• Todd–Coxeter algorithm
• Word Processing in Groups

Permutation groups

• Affine symmetric group
• Alternating group
• Automorphisms of the symmetric and alternating groups
• Base (group theory)
• Block (permutation group theory)
• Burnside ring
• Cayley graph
• Covering groups of the alternating and symmetric groups
• Faro shuffle
• Frobenius group
• Gassmann triple
• Generalized symmetric group
• Hall's universal group
• Jordan's theorem (symmetric group)
• Jucys–Murphy element
• List of transitive finite linear groups
• Multiply transitive group action
• O'Nan–Scott theorem
• Parker vector
• Permutation group
• Permutation representation
• Primitive permutation group
• Rubik's Cube group
• Schreier vector
• Schreier–Sims algorithm
• Sims conjecture
• Strong generating set
• Symmetric group
• System of imprimitivity
• Wreath product
• Young subgroup
• Zassenhaus group

References

[1] https://en.wikipedia.org/wiki/Schreier_vector

Also known as Schreier tree, Schreier vectors.